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arXiv 1001.2202cond-mat.soft
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颗粒填料的局部库仑与整体破坏准则

Local Coulomb versus Global Failure Criterion for Granular Packings

Silke Henkes, Carolina Brito, Olivier Dauchot, Wim Van Saarloos

摘要:

接触在库仑阈值是不稳定的切向扰动,从而有助于在微观层面上的故障。在莫尔-库仑型破坏准则给出的有效图像之外,这种局部性质与全局破坏有何关系?在这里,我们使用一个模拟床的摩擦盘缓慢倾斜的重力作用下,调查雪崩过程和全球广义均衡性标准之间的联系。雪崩开始时,作为一个整体的包装仍然是稳定的,根据这个标准,强调了大的不均匀性的作用,在不稳定的过程:集群的颗粒与充分动员接触集中局部故障。我们证明,这些集群,在不一致的桩作为一个整体,也是全球边缘的广义均衡。更确切地说,我们观察到如何从局部力学性质的稳定性条件逐步建立了广义均衡性标准,因为它们的大小增长,并最终跨越整个系统时,接近雪崩。

英文摘要:

Contacts at the Coulomb threshold are unstable to tangential perturbations and thus contribute to failure at the microscopic level. How is such a local property related to global failure, beyond the effective picture given by a Mohr-Coulomb type failure criterion? Here, we use a simulated bed of frictional disks slowly tilted under the action of gravity to investigate the link between the avalanche process and a global generalized isostaticity criterion. The avalanche starts when the packing as a whole is still stable according to this criterion, underlining the role of large heterogeneities in the destabilizing process: the clusters of particles with fully mobilized contacts concentrate local failure. We demonstrate that these clusters, at odds with the pile as a whole, are also globally marginal with respect to generalized isostaticity. More precisely, we observe how the condition of their stability from a local mechanical proprety progressively builds up to the generalized isostaticity criterion as they grow in size and eventually span the whole system when approaching the avalanche.

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